The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 2 1 1 1 1 1 0 2 0 1 1 0 1 1 1 2 2 1 2 1 1 2 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 0 0 1 1 0 1 0 1 1 2 0 1 1 2 1 0 2 0 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 1 3 1 0 0 3 3 1 2 1 0 3 1 3 1 0 3 2 3 1 1 1 1 2 3 1 1 0 2 1 1 0 1 3 0 1 2 1 1 3 1 0 1 2 1 0 0 3 0 1 0 1 1 3 2 3 1 1 0 2 1 0 1 0 1 1 1 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 generates a code of length 90 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+214x^76+126x^78+499x^80+334x^82+828x^84+708x^86+1088x^88+756x^90+1053x^92+662x^94+746x^96+374x^98+417x^100+104x^102+163x^104+8x^106+73x^108+30x^112+7x^116+1x^120 The gray image is a code over GF(2) with n=180, k=13 and d=76. This code was found by Heurico 1.16 in 70.8 seconds.